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Finding the Third Proportional to 31,998 and 69,102

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Solution

The third proportional to 31,998 and 69,102 is: 149,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998 : 69,102 = 69,102 : x
  2. Step 2: Convert to fraction form
    31,998/69,102 = 69,102/x
  3. Step 3: Cross multiply
    31,998x = 69,102 × 69,102
  4. Step 4: Simplify right side
    31,998x = 4,775,086,404
  5. Step 5: Solve for x
    x = 4,775,086,404/31,998
  6. Step 6: Final answer
    x = 149,230.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.